In: Statistics and Probability
16 males with high triglyceride level were given oat bran cereal as part of diet for two weeks, and corn flakes cereal as part of diet for another two weeks. (15 points)
Triglyceride Level (mmol/dL) |
Corn flakes |
Oat bran |
Difference |
Mean |
4.44 |
4.08 |
0.36 |
SD |
1.0 |
1.1 |
0.40 |
(1) To test if oat bran cereal significantly lowers triglyceride level, which tests, one-sample t-test, two-dependent samples t-test or two-independent samples t-test should we use?
(2) What would be the null hypothesis in this study?
(3) What would be the alternate hypothesis?
(4) The t-statistics in this study is 3.6. What the conclusion would be if the significant level is set as 0.05? (df=15, t1-(0.05/2)=1.75)
(5) What is the connection between hypothesis testing approach and confidence interval approach?